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A108862
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Numbers n such that n divides the sum of the digits of (n!)^2.
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0
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1, 2, 3, 6, 9, 18, 34, 36, 54, 99, 111, 261, 648, 1161, 1296, 2763, 4735, 4784, 4911, 6327, 7929, 10599, 17352, 17541, 48372, 223956, 226185, 290502, 375480, 481207, 481620, 482567, 482801, 484412
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..34.
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EXAMPLE
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648 is a term because the sum of the digits in (648!)^2, 12312, is divisible by 648.
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MATHEMATICA
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Do[If[Mod[Plus @@ IntegerDigits[(n!)^2], n] == 0, Print[n]], {n, 1, 10000}]
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CROSSREFS
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Sequence in context: A091326 A113863 A085431 * A018582 A018619 A018638
Adjacent sequences: A108859 A108860 A108861 * A108863 A108864 A108865
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KEYWORD
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base,hard,more,nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Jul 11 2005
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EXTENSIONS
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More terms from Robert Gerbicz, Aug 24 2006
a(26)-a(34) from Donovan Johnson, Dec 13 2010
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STATUS
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approved
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